Abstract
For several examples of Hermitian operators, the issues involved in their possible self-adjoint extension are shown to conform with recognizable properties in the solutions to the associated classical equations of motion. This result confirms the assertion made in an earlier paper (Ref. 1) that there are sufficient classical “symptoms” to diagnose any quantum “illness.”
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References
C. J. Zhu and J. R. Klauder, “Classical symptoms of quantum illnesses,” submitted for publication.
V. Hutson and J. S. Pym,Applications of Functional Analysis and Operator Theory (Academic, New York, 1980).
K. M. Case, “Singular potentials,”Phys. Rev. 80, 797 (1950).
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Zhu, C., Klauder, J.R. The self-adjointness of Hermitian Hamiltonians. Found Phys 23, 617–631 (1993). https://doi.org/10.1007/BF01883769
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DOI: https://doi.org/10.1007/BF01883769